Modular Schur Functions
Copyright policy )Modular Schur Functions
A new family of symmetric functions is considered. These functions are analogous to the classical Schur functions, but depend on an integer modulus p ⩾ 2 p \geqslant 2 , as well as on a partition λ \lambda . In the case where p p is prime, certain of these functions are shown to be irreducible characters of the general linear group G L ( n , K ) GL(n,K) in the natural characteristic p p of the field K K . This dualises a wellknown criterion of G. D. James for such characters to be given by classical Schur functions.
- University of Salford United Kingdom
Symmetric functions and generalizations, truncated symmetric power, Schur function, Modular representations and characters, modular Schur functions, Young diagrams, Specht module, regular partitions, Representations of finite symmetric groups, Jacobi-Trudi formula, Combinatorial aspects of representation theory, modular representation, irreducible characters, symmetric functions, linear group, Littlewood-Richardson rule, Carter's criterion
Symmetric functions and generalizations, truncated symmetric power, Schur function, Modular representations and characters, modular Schur functions, Young diagrams, Specht module, regular partitions, Representations of finite symmetric groups, Jacobi-Trudi formula, Combinatorial aspects of representation theory, modular representation, irreducible characters, symmetric functions, linear group, Littlewood-Richardson rule, Carter's criterion
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